4642297920 has 560 divisors, whose sum is σ = 18587923200. Its totient is φ = 1091211264.

The previous prime is 4642297903. The next prime is 4642297951. The reversal of 4642297920 is 297922464.

It is a happy number.

It is a super-3 number, since 3×4642297920³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7749781 + ... + 7750379.

It is an arithmetic number, because the mean of its divisors is an integer number (33192720).

Almost surely, 2^4642297920 is an apocalyptic number.

4642297920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4642297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9293961600).

4642297920 is an abundant number, since it is smaller than the sum of its proper divisors (13945625280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4642297920 is a wasteful number, since it uses less digits than its factorization.

4642297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4642297920 is about 68134.4106894600. The cubic root of 4642297920 is about 1668.1854770197.

The spelling of 4642297920 in words is "four billion, six hundred forty-two million, two hundred ninety-seven thousand, nine hundred twenty".